Question

( -2/9 × 27/-16 ) + ( -1/2 × 5/3 ) Simplify ​

Answer 1

Answer:

$\frac{-11}{24}$ we get after solving ($\frac{-2}{9}$ × $\frac{27}{-16}$ )+ ($\frac{-1}{2}$ × $\frac{5}{3}$)

Step-by-step explanation:

Explanation:

Given that, ( -2/9 × 27/-16 ) + ( -1/2 × 5/3 )

⇒($\frac{-2}{9}$ × $\frac{27}{-16}$ )+ ($\frac{-1}{2}$ × $\frac{5}{3}$)

• BODMAS rule - The Bodmas rule is arranged according to the letters in the acronym BODMAS, which stand for brackets, order of powers or roots, division, and multiplication, a stands for addition and S for subtraction.

• According to the BODMAS rule, mathematical equations containing numerous operators must be resolved in the BODMAS order, starting from the left.

Step 1:

We have, ($\frac{-2}{9}$ × $\frac{27}{-16}$ )+ ($\frac{-1}{2}$ × $\frac{5}{3}$)

According to  BODMAS, we first solve multiplication part,

⇒($\frac{-2}{9}$ × $\frac{27}{-16}$ )+ ($\frac{-1}{2}$ × $\frac{5}{3}$) = $\frac{3}{8}$ + $\frac{-5}{6}$

Now, LCM of 8 and 6 is 24.

⇒$\frac{9 - 20}{24}$ = $\frac{-11}{24}$

Final answer:

Hence, $\frac{-11}{24}$ we get after solving ($\frac{-2}{9}$ × $\frac{27}{-16}$ )+ ($\frac{-1}{2}$ × $\frac{5}{3}$)

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Answer 2

The value of $(\frac{-2}{9}\times \frac{27}{-16} )+(\frac{-1}{2} \times\frac{5}{3} )$ is $\frac{-11}{24}$.

Step-by-step explanation:

Given:

$(\frac{-2}{9}\times \frac{27}{-16} )+(\frac{-1}{2} \times\frac{5}{3} )$.

To Find:

The value of $(\frac{-2}{9}\times \frac{27}{-16} )+(\frac{-1}{2} \times\frac{5}{3} )$ .

Concept Used:

BODMAS rule is a rule or order that is used to simplify the arithmetic expression involving more operators in mathematics. When an equation involves more operators, first, we have to know in which order we have to solve the expression.

Solution:

As given,$(\frac{-2}{9}\times \frac{27}{-16} )+(\frac{-1}{2} \times\frac{5}{3} )$.

$(\frac{-2}{9}\times \frac{27}{-16} )+(\frac{-1}{2} \times\frac{5}{3} )$

According to  BODMAS, we first solve multiplication part,

$=\frac{3}{8}+\frac{-5}{6}$

$=\frac{9-20}{24}$

$=\frac{-11}{24}$

Thus,The value of $(\frac{-2}{9}\times \frac{27}{-16} )+(\frac{-1}{2} \times\frac{5}{3} )$ is $\frac{-11}{24}$.

#SPJ2